2. a) Give the definition of,a stationary time series Y. b) Let (Z.) be a sequence of independent starrlard normal variables (1.e, having mearw O and varl- ance 1). Show that the time series (Y)so defined by Yo Zo and Y - Y,- 22+ (t2 0) in not stationary.

Q: V-539 7. V11

A: To Determine:  Simplify

Q: 2 +,

A:

Q: 3a - 7b - 5a + b

A: To seperate the terms of a and b, we get3a - 5a - 7b + b

Q: 7x+2y-3x+4y

A:

Q: x² ,2 xp V16-x2

A:

Q: V24x15y5 3

A:

Q: 4x - 5y = 3  3x - 4y = 6

A: Given that       4x - 5y = 3 -------------(1)        3x - 4y = 6 -------------(2)

Q: 5v2 +6 dv 4 v3

A:

Q: dt t2-t-6

A:

Q: Find the domain

A:

Q: 2x+4y>6

A:

Q: 2 1 x²dx -3x

A: Given:

Q: find domain

A: If you have any questions let me know in comment box thankyou for your question.

Q: S(2 + vx)³ Vīdx

A:

Q: 4x + 2y=8 6x - 4y=5

A: Given4x+2y=8 and    --- Eq 16x-4y=5           --- Eq 2We solve for x and yFrom Eq 1:2y=8-4x…

Q: 10 x 10

A: We have to multiply 10×10 When we multiply 10 into 10, we will get 100. Therefore, 10×10=100

Q: 9x+4y=13 3x+5y=9

A:

Q: order of (Z4, +4) for each element

A: order of (Z4, +4) for each element

Q: 9x4 y4  x  x2  y2

A: Given:  9x4y4 × x2y2

Q: 4x+y+2y

A: We can use normal algebra to solve this problem.

Q: 2: Find: L-1[: 1 3 - 3]

A:

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: 2x 4x e dx

A:

Q: V6x + 7 – 2 = x

A:

Q: ZA b a y

A:

Q: 3V3 3.

A:

Q: 4х-9 2. 2х-4 2 VI

A:

Q: 3x 9. X2+4x+3

A: Given expression is : 3xx2+7x+6+9x2+4x+3 Now add the above expression ,…

Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: (v-4)2

A:

Q: 4dx x+36 2.

A: To evaluate the given integral

Q: 4=6/2x-3

A: Given query is to find the value of x.

Q: a + 4e + 5d+ 3a

A: We will simplify the given expression.     8a+4e+5d+3a=11a+4e+5d

Q: Multiply.     (x+y ) 2

A: The given expression x+y2.

Q: hogs 15 X=4

A:

Q: ZV zV1- z?dz

A: Let the given integral be y - y = ∫z1-z2 dz           ..............(1)Let,z = sinx…

Q: 4h aー-5

A: We have to find out

Q: 10 – 2x6 dx

A: